Stiff differential equations solved by Radau methods

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摘要

Radau IIA methods are successful algorithms for the numerical solution of stiff differential equations. This article describes RADAU, a new implementation of these methods with a variable order strategy. The paper starts with a survey on the historical development of the methods and the discoveries of their theoretical properties. Numerical experiments illustrate the behaviour of the code.

论文关键词:65L05,Stiff differential equations,Implicit Runge–Kutta methods,Radau IIA methods,Historical notes,Order stars,Order selection strategy

论文评审过程:Received 28 April 1998, Revised 26 December 1998, Available online 21 February 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00134-X